799737120 has 576 divisors, whose sum is σ = 3566384640. Its totient is φ = 158367744.

The previous prime is 799737109. The next prime is 799737139. The reversal of 799737120 is 21737997.

It is a super-2 number, since 2×799737120² = 1279158922211788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2227501 + ... + 2227859.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^799737120 is an apocalyptic number.

799737120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

799737120 is an abundant number, since it is smaller than the sum of its proper divisors (2766647520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

799737120 is a wasteful number, since it uses less digits than its factorization.

799737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 799737120 is about 28279.6237598735. The cubic root of 799737120 is about 928.2160738436.

The spelling of 799737120 in words is "seven hundred ninety-nine million, seven hundred thirty-seven thousand, one hundred twenty".